Unit 7 Review (Pythagorean Theorem)

Unit 7 Review (Pythagorean Theorem)

Pythagorean Theorem

Converse

Multiple Choice

Which of the following is the correct equation for Pythagorean Theorem?

• $a^2\times b^2=c^2$

• $a^2-b^2=c^2$

• $a^2+b^2\ne c^2$

• $a^2+b^2=c^2$

Multiple Choice

What is the sides "a" and "b" called.

• arms

• legs

• hypotenuse

• longest

Multiple Choice

What is the side "c" called?

• hypotenuse

• legs

• arms

• shortest

Multiple Choice

What type of triangle does Pythagorean Theorem solve?

• Acute Triangle

• Right triangle

• Obtuse Triangle

• All of the above

Multiple Choice

Mickey wants to make a garden with a border in the corner of his yard. He has lumber in several different lengths. Which three lengths could NOT be used to make a right triangle to fit into the corner of his yard?

• 5ft., 3ft., 4 ft.

• 8 ft., 6ft., 10 ft.

• 7 ft., 4 ft., 9 ft.

• 10 ft., 26 ft., 24 ft

Pythagorean Theorem

Solve for the missing side

Multiple Choice

Which of the following equations is correct when solving for a?

• $a^2+5^2=16^2$

• $a^2-3^2=15^2$

• $15^2\times2^2=a^2$

• $15^2+2^2=a^2$

Multiple Choice

Which side(s) is also known as the diagonal?

• legs

• hypotenuse

Multiple Choice

A baseball diamond is a square with sides of 65 feet.

If a player is standing on second base, approximately how far would he have to throw the ball to reach home plate?

• 91 feet

• 87 feet

• 130 feet

• 92 feet

Multiple Choice

The owner of a mansion stretched a string of decorative floats diagonally across the pool as shown. What is the length of the the string?

• 23 feet

• 11 feet

• 32 feet

• 6 feet

Multiple Choice

Kobe played basketball on a rectangular court that was 70 feet by 38 feet. After the game, he walked across the court diagonally from one corner to the opposite corner. Approximately what distance did Kobe walk in feet?

• 59 feet

• 80 feet

• 108 feet

• 10 feet

Multiple Choice

If a side length of a square is 8 in, what is the area?

• $2.8\ in^2$

• $64\ in^2$

• $32\ in^2$

Multiple Choice

If the area of a square is  $25\ in^2$ , what is the side length?

• 625 in

• 6.25 in

• 5 in

Multiple Choice

If a right triangle is formed when three squares are joined at their vertices, the area of the largest square is the same as the combined area of the two smaller squares. Which set of three squares do NOT support this statement?

Multiple Choice

When solving for distance on a coordinate plane, what side(s) are you normally solving for?

• legs

• hypotenuse

Multiple Choice

Triangle RST is graphed on the coordinate plane below.

What is the approximate length of segment ST in units?

• 2.8 units

• 4 units

• 6.7 units

• 5.8 units

Multiple Choice

When solving for the length of the roof, what should you do first.

• Plug the numbers in the formula.

• Cut the base/bottom of the roof in half.

• You can't solve because you don't have all of the numbers.

• Solve for the missing leg

Multiple Choice

Billy works with his uncle repairing roofs. The diagram below shows the side view of a roof they plan to repair.

Based on the measurements shown, what is the length of the missing side of the roof?

• 11 feet

• 39 feet

• 50 feet

• 23 feet

Multiple Choice

When solving "how much further" in distance what are the appropriate steps?

• Solve for "c".

• Solve for "a", then subtract.

• Subtract the legs.

• Add the legs, solve for "c", subtract the two answers.

Multiple Choice

On some days Minnie travels from home directly to the mall. On other days she stops at Applebees on her way to the mall.

Approximately how much further would Minnie travel by going from her home to Applebee's and then to the mall than she would travel by going from her home directly to the mall?

• 440 yds

• 119 yds

• 321 yds

• 761 yds

Angles

Transversals

Multiple Choice

How many degrees is a straight line?

• 90

• 180

• 360

• 0

Multiple Choice

How many degrees is the inside of a triangle?

• 270

• 360

• 180

• 90

Multiple Choice

What type of angles add up to 180 degrees.

• complimentary

• supplementary

• interior

• exterior

Multiple Choice

Mary drew the diagram.

Based on the diagram, which statement is true?

• The measure of an exterior angle of triangle, angle T, is equal to the sum of the measures of the two non-adjacent interior angles of the triangle, angle R and angle S.

• The sum of the measures of the interior and exterior angles of a triangle is always 180 degrees.

• The measure of an exterior angle of a triangle, angle T, is less than the sum of the measures of the two non-adjacent interior angles of the triangle, angle R and angle S.

• The sum of the measures of the interior and exterior angles of a triangle is always 360 degrees.

Multiple Choice

In each diagram, the parallel lines is cut by a transversal.

Based on the given diagram, which statement about the value of x in the diagram below is true?

• The value of each x is 158 degrees because all of the labled angles are congruent.

• The value of each x cannot be determined from the given pattern.

• The value of each given x is 130 degrees because each angle shown in the pattern measures 130 degrees.

• The value of each x is 22 degrees because each x angle and the given angle measuring 158 degrees are supplementary, 158 + 22 = 180.